Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 956/576,5364/970
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 956,5364
Greatest Common Factor of Numerators i.e. GCF of 956,5364 is 4 .
LCM of Denominators means LCM of 576,970 as per the given fractions.
LCM of 576,970 is 279360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 956,5364
2 | 956, 5364 |
2 | 478, 2682 |
239, 1341 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Factors of 5364
List of positive integer factors of 5364 that divides 5364 without a remainder.
1,2,3,4,6,9,12,18,36,149,298,447,596,894,1341,1788,2682,5364
Greatest Common Factor
We found the factors 956,5364 . The biggest common factor number is the GCF number.
So the greatest common factor 956,5364 is 4.
Lets's calculate LCM of 576,970
2 | 576, 970 |
288, 485 |
∴ So the LCM of the given numbers is 2 x 288 x 485 = 279360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/279360
Therefore, the GCF of Fractions 956/576,5364/970 is 4/279360
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 576,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,970) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(576,970) x common factors =2 x 1 = 2
LCM(576,970) = ( 576 × 970 ) / 2
LCM(576,970) = 558720 / 2
LCM(576,970) = 279360
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 956/576, 5364/970?
Answer: GCF of Numerators as per given numbers 956/576, 5364/970 is
GCF of Numerators i.e. for 956,5364 is 4
LCM of denominators i.e. for 576,970 is 279360.
Thus, GCF of Fractions is 4/279360.Finally, GCF of Fractions for 956/576, 5364/970 is 4/279360.